Question
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Graph the lemniscate r2 = 36 cos 2 theta. What symmetries does the curve have? Identify the sketch that shows the curve r2 = 36 cos 2theta. Is the curve symmetric about the x-axis? No Yes Is the curve symmetric about the y-axis? Yes No Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = cos (t), y = 2 sin (t), 0 t pi Choose the correct Cartesian equation which represents the same path defined by the parametric equations. x 2 + y 2 / 4 = 1 x 2 + y 2 = 2 x 2 + y 2 = 4 x2/4 + y2 = 1 Find the equation of the ellipse, centered at the origin, satisfying the conditions. Sketch its graph. foci ( plusminus 3, 0), vertices ( plusminus 5,0) Choose the correct equation of the ellipse. x 2/34 + y2/25 = 1 x 2/16 + y2/16 = 1 x 2/25 + y2/34 = 1 x 2/25 + y2/16 = 1 Choose the correct graph of the ellipse. Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = - 7 see (t),y = 7 tan (t), - pi/2
Explanation / Answer
(1)(a)c (b)yes (c) no (3)D , B ()
